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Finding the Fourth Proportional to 102,180.70, 153,114.90 and 42,983.92

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Solution

The fourth proportional to 102,180.70, 153,114.90 and 42,983.92 is: 64,410.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,180.70 : 153,114.90 = 42,983.92 : x
  2. Step 2: Convert to fraction form
    102,180.70/153,114.90 = 42,983.92/x
  3. Step 3: Cross multiply
    102,180.70x = 153,114.90 × 42,983.92
  4. Step 4: Simplify right side
    102,180.70x = 6,581,478,612.41
  5. Step 5: Solve for x
    x = 6,581,478,612.41/102,180.70
  6. Step 6: Final answer
    x = 64,410.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.